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Finding the Fourth Proportional to 157,702.80, 217,622.25 and 89,713.36

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Solution

The fourth proportional to 157,702.80, 217,622.25 and 89,713.36 is: 123,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,702.80 : 217,622.25 = 89,713.36 : x
  2. Step 2: Convert to fraction form
    157,702.80/217,622.25 = 89,713.36/x
  3. Step 3: Cross multiply
    157,702.80x = 217,622.25 × 89,713.36
  4. Step 4: Simplify right side
    157,702.80x = 19,523,623,258.26
  5. Step 5: Solve for x
    x = 19,523,623,258.26/157,702.80
  6. Step 6: Final answer
    x = 123,800.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.